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Finding the Fourth Proportional to 40.19, 55.46 and 23.82

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Solution

The fourth proportional to 40.19, 55.46 and 23.82 is: 32.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.19 : 55.46 = 23.82 : x
  2. Step 2: Convert to fraction form
    40.19/55.46 = 23.82/x
  3. Step 3: Cross multiply
    40.19x = 55.46 × 23.82
  4. Step 4: Simplify right side
    40.19x = 1,321.12
  5. Step 5: Solve for x
    x = 1,321.12/40.19
  6. Step 6: Final answer
    x = 32.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.